JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

\omega=e^{-2 \pi i / 3}, a, b, c, x, y, z

are non-zero complex numbers such that

a+b+c=x, a+b \omega+c \omega^2=y

and

a+

b \omega^2+c \omega=z

, then

\frac{|x|^2+|y|^2+|z|^2}{|a|^2+|b|^2+||^2}=

View answer and explanation

Correct option: D

Option D (9) is correct because, given the conditions and substituting a=b=c, x=3a, y=0, z=0, the expression simplifies to 9.

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